Answer translate the following into an equation: a number x is decreased by 45. the result is then divided by 12. then 20 is added to this new result to give a final result of five times the difference of 32 and the number x

(This is a little difficult but I've got it)

((x - 45)/12) + 20 = 5(32 - x)

(I made the equation a little more complex than I should have but that equation should still work if you were to solve for x)

Hey there!!

Let's get this step by step

x is decreased by 45 = x - 45

Result is divided by 12 = ( x - 45 ) / 12

Then, 20 is added to the result

[ ( x - 45 ) / 12 ] + 20

Result =

Five times the difference of 32 and x = 5 ( 32 - x )

Hence, the equation

[ ( x - 45 ) / 12 ] + 20 = 5 ( 32 - x )

( x - 195 ) / 12 = 160 - 5x

Multiply 12 on both sides

x - 195 = 12 ( 160 - 5x )

x - 195 = 1920 - 60x

Add 60x on both sides and add 195 on both sides

61x = 2115

divide by 61 on both sides

x = 34.67

x = 34.7

Hence, the required answer is 34.7 this can be rounded to 35

Hope my answer helps!

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.